I remember a meme that spread to that effect, but it was similarly divorced from reality. Hundreds of banks failed during the financial crisis, including multiple which were very large. There were a few cases like Wachovia, where an unhealthy bank was required to sell itself in order to avoid a technical failure that would have impacted over 10 million Americans' access to their money. But this was still unpleasant for existing Wachovia shareholders.
I remember large banks that caused the failure to be bailed out. And talk of trickle down economics, except that average joe was not bailed outed, but punished.
I remember robo signing of home foreclosures with no checks and people loosing houses despite paying debts.